c zð Þ ¼ exp  l  z

ð

Þ

ð

Þ:

ð16:10Þ

We get self-diffusion coefcient as

D zð Þ ¼ π

2

kBT

m τsech πΩ zð Þτ=2

ð

Þ

ð16:11Þ

Fig. 16.9 Particle in a compressed situation

Fig. 16.10 Ratio of local frequency to the bulk frequency as function of z

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